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Finding the Fourth Proportional to 10,577.44, 15,866.32 and 4,006.72

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Solution

The fourth proportional to 10,577.44, 15,866.32 and 4,006.72 is: 6,010.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.44 : 15,866.32 = 4,006.72 : x
  2. Step 2: Convert to fraction form
    10,577.44/15,866.32 = 4,006.72/x
  3. Step 3: Cross multiply
    10,577.44x = 15,866.32 × 4,006.72
  4. Step 4: Simplify right side
    10,577.44x = 63,571,901.67
  5. Step 5: Solve for x
    x = 63,571,901.67/10,577.44
  6. Step 6: Final answer
    x = 6,010.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.